Question: 1) Let S be a regular surface with parametrization X=X(u,v) , and associated metric I=(du 2 +dv 2 )/v 2 on U={(u,v) | v>0} R

1) Let S be a regular surface with parametrization X=X(u,v) , and associated metric I=(du2+dv2)/v2 on U={(u,v) | v>0} €R2.

a) Evaluate Christoffel functions.

b) Evaluate the Gauss curvature.

c)Can this surface have the second fundamental form as II = (du2+dv2)/v2 ?

Give reasons for your answers.

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